Matrix Mathematics
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portes grátis
Matrix Mathematics
A Second Course in Linear Algebra
Garcia, Stephan Ramon; Horn, Roger A.
Cambridge University Press
05/2023
500
Dura
Inglês
9781108837101
15 a 20 dias
Descrição não disponível.
- Contents
- Preface
- Notation
- 1. Vector Spaces
- 2. Bases and Similarity
- 3. Block Matrices
- 4. Rank, Triangular Factorizations, and Row Equivalence
- 5. Inner Products and Norms
- 6. Orthonormal Vectors
- 7. Unitary Matrices
- 8. Orthogonal Complements and Orthogonal Projections
- 9. Eigenvalues, Eigenvectors, and Geometric Multiplicity
- 10. The Characteristic Polynomial and Algebraic Multiplicity
- 11. Unitary Triangularization and Block Diagonalization
- 12. The Jordan Form: Existence and Uniqueness
- 13. The Jordan Form: Applications
- 14. Normal Matrices and the Spectral Theorem
- 15. Positive Semidefinite Matrices
- 16. The Singular Value and Polar Decompositions
- 17. Singular Values and the Spectral Norm
- 18. Interlacing and Inertia
- 19. Norms and Matrix Norms
- 20. Positive and Nonnegative Matrices
- References
- Index.
- Preface
- Notation
- 1. Vector Spaces
- 2. Bases and Similarity
- 3. Block Matrices
- 4. Rank, Triangular Factorizations, and Row Equivalence
- 5. Inner Products and Norms
- 6. Orthonormal Vectors
- 7. Unitary Matrices
- 8. Orthogonal Complements and Orthogonal Projections
- 9. Eigenvalues, Eigenvectors, and Geometric Multiplicity
- 10. The Characteristic Polynomial and Algebraic Multiplicity
- 11. Unitary Triangularization and Block Diagonalization
- 12. The Jordan Form: Existence and Uniqueness
- 13. The Jordan Form: Applications
- 14. Normal Matrices and the Spectral Theorem
- 15. Positive Semidefinite Matrices
- 16. The Singular Value and Polar Decompositions
- 17. Singular Values and the Spectral Norm
- 18. Interlacing and Inertia
- 19. Norms and Matrix Norms
- 20. Positive and Nonnegative Matrices
- References
- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
- Contents
- Preface
- Notation
- 1. Vector Spaces
- 2. Bases and Similarity
- 3. Block Matrices
- 4. Rank, Triangular Factorizations, and Row Equivalence
- 5. Inner Products and Norms
- 6. Orthonormal Vectors
- 7. Unitary Matrices
- 8. Orthogonal Complements and Orthogonal Projections
- 9. Eigenvalues, Eigenvectors, and Geometric Multiplicity
- 10. The Characteristic Polynomial and Algebraic Multiplicity
- 11. Unitary Triangularization and Block Diagonalization
- 12. The Jordan Form: Existence and Uniqueness
- 13. The Jordan Form: Applications
- 14. Normal Matrices and the Spectral Theorem
- 15. Positive Semidefinite Matrices
- 16. The Singular Value and Polar Decompositions
- 17. Singular Values and the Spectral Norm
- 18. Interlacing and Inertia
- 19. Norms and Matrix Norms
- 20. Positive and Nonnegative Matrices
- References
- Index.
- Preface
- Notation
- 1. Vector Spaces
- 2. Bases and Similarity
- 3. Block Matrices
- 4. Rank, Triangular Factorizations, and Row Equivalence
- 5. Inner Products and Norms
- 6. Orthonormal Vectors
- 7. Unitary Matrices
- 8. Orthogonal Complements and Orthogonal Projections
- 9. Eigenvalues, Eigenvectors, and Geometric Multiplicity
- 10. The Characteristic Polynomial and Algebraic Multiplicity
- 11. Unitary Triangularization and Block Diagonalization
- 12. The Jordan Form: Existence and Uniqueness
- 13. The Jordan Form: Applications
- 14. Normal Matrices and the Spectral Theorem
- 15. Positive Semidefinite Matrices
- 16. The Singular Value and Polar Decompositions
- 17. Singular Values and the Spectral Norm
- 18. Interlacing and Inertia
- 19. Norms and Matrix Norms
- 20. Positive and Nonnegative Matrices
- References
- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
